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Finding the Third Proportional to 117,555 and 277,457

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Solution

The third proportional to 117,555 and 277,457 is: 654,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,555 : 277,457 = 277,457 : x
  2. Step 2: Convert to fraction form
    117,555/277,457 = 277,457/x
  3. Step 3: Cross multiply
    117,555x = 277,457 × 277,457
  4. Step 4: Simplify right side
    117,555x = 76,982,386,849
  5. Step 5: Solve for x
    x = 76,982,386,849/117,555
  6. Step 6: Final answer
    x = 654,862.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.